Pamela has 3 times as many scones as Betty. The total number of Pamela's and Betty's scones is 5 times of Roshel's. Pamela and Betty have 192 scones more than Roshel's. How many less scones does Roshel have than Pamela?
| Pamela |
Betty |
Roshel |
| 3x5 |
1x5 |
|
| 5x4 |
1x4 |
| 15 u |
5 u |
4 u |
The total number of scones that Pamela and Betty have is repeated. Make the total number of scones that Pamela and Betty have the same. LCM of 4 and 5 is 20.
Total number of scones that Pamela and Betty have
= 15 u + 5 u
= 20 u
Number of more scones that Pamela and Betty have than Roshel
= 20 u - 4 u
= 16 u
16 u = 192
1 u = 192 ÷ 16 = 12
Number of less scones that Roshel has than Pamela
= 15 u - 4 u
= 11 u
= 11 x 12
= 132
Answer(s): 132
